1008944164800 has 2352 divisors, whose sum is σ = 4580469831168. Its totient is φ = 215140147200.

The previous prime is 1008944164793. The next prime is 1008944164829. The reversal of 1008944164800 is 84614498001.

1008944164800 is a `hidden beast` number, since 100 + 8 + 94 + 416 + 48 + 0 + 0 = 666.

1008944164800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3836289469 + ... + 3836289731.

Almost surely, 2^{1008944164800} is an apocalyptic number.

1008944164800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008944164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290234915584).

1008944164800 is an abundant number, since it is smaller than the sum of its proper divisors (3571525666368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1008944164800 is a wasteful number, since it uses less digits than its factorization.

1008944164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1008944164800 in words is "one trillion, eight billion, nine hundred forty-four million, one hundred sixty-four thousand, eight hundred".